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Add Product to wishlist API in magento

<?php 
require_once("../../app/Mage.php");
umask(0);
Mage::app();
ini_set('display_errors', 1);
  /*code for login*/
    $email = $_REQUEST['email'];
    $password = $_REQUEST['password'];
    $productId=$_REQUEST['product_id'];
   
    Mage::getSingleton("core/session", array("name" => "frontend"));   
    $websiteId = Mage::app()->getWebsite()->getId();
    $store = Mage::app()->getStore();
    $customer = Mage::getModel("customer/customer");   
    $customer->website_id = $websiteId;
    $customer->setStore($store);
     try
    {       
        $customer->loadByEmail($email);
        $session = Mage::getSingleton('customer/session')->setCustomerAsLoggedIn($customer);       
        $session->login($email, $password);
        $customerData = Mage::getModel('customer/customer')->load($session->getId())->getData();
        json_encode($customerData['email']);
       
        if($customerData['email']):                        /*     checking db emails      */
            $result['result'] = 'logged in';
            $result['getdata'] = $customerData;
            $customerData = Mage::getSingleton('customer/session')->getCustomer();
            $customerId = $customerData->getId();
            $wishlist = Mage::getModel('wishlist/wishlist')->loadByCustomer($customerId, true);
       
            $product = Mage::getModel('catalog/product')->load($productId);
            $buyRequest = new Varien_Object(array());
            $result = $wishlist->addNewItem($product, $buyRequest);
            $wishlist->save();
            echo json_encode($result);
            echo 'product add to wishlist..';
            //echo json_encode($customerData);           
        else:
            $result['result'] = 'Wrong Credentials! Please login First.';
            echo json_encode($result);
        endif;
    }
    catch(Exception $e){
            $result['result'] = 'Wrong Credentials! Please login First.';
            echo json_encode($result);
    }
    
   

?>